Mandelbulbs the search for a 3D Mandelbrot Fractal

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=I9EO9-izL9E

Follow Tom on his journey to Delft in the Netherlands in his quest to find a 3D Mandelbrot Set, otherwise known as a 'Mandelbulb'. • We begin with a discussion of the definition of a fractal, with examples from the natural world, as well as generating our very own in the form of the Koch Snowflake - a shape with infinite perimeter, but finite area. We then define the 2D Mandelbrot Set and introduce the concept of the Hausdorff Dimension which can take non-integer values, as exemplified by the Sierpinski Carpet Fractal. After a brief diversion via the Coastline Paradox and Space-filling Curves, we move onto 3D fractals in the form of the Menger Sponge, before finally using the White-Nylander Formula to generate our 3D renderings of the Mandelbrot Set, otherwise known as Mandelbulbs. • Produced by Quark Media - Jamie Halliday and Joseph Brooks Shuttleworth • https://quarkmedia.xyz/ • Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall at the University of Oxford: https://www.seh.ox.ac.uk/people/tom-c... • For more maths content check out Tom's website https://tomrocksmaths.com/ • You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. • / tomrocksmaths • / tomrocksmaths • / tomrocksmaths • Get your Tom Rocks Maths merchandise here: • https://beautifulequations.net/collec... • Attribution: • Paramount Pictures. ANNIHILATION. YouTube Movies. March 25, 2019. • • Annihilation • Mandelbulb renderings from https://mb3d.overwhale.com/ • Credits: • Geek3: https://commons.wikimedia.org/wiki/Us... • Cwgreene • Google Maps • Desmos • StudyWorld • WorldAtlas • Zbigniew Fiedorowicz • Byron Mayfield

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